693349360704 has 2688 divisors, whose sum is σ = 3102151987200. Its totient is φ = 146193776640.

The previous prime is 693349360699. The next prime is 693349360709. The reversal of 693349360704 is 407063943396.

693349360704 is a `hidden beast` number, since 6 + 93 + 3 + 493 + 60 + 7 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (693349360699) and next prime (693349360709).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (693349360709) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9497936412 + ... + 9497936484.

It is an arithmetic number, because the mean of its divisors is an integer number (1154074400).

Almost surely, 2^693349360704 is an apocalyptic number.

693349360704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 693349360704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551075993600).

693349360704 is an abundant number, since it is smaller than the sum of its proper divisors (2408802626496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

693349360704 is a wasteful number, since it uses less digits than its factorization.

693349360704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 54.

The spelling of 693349360704 in words is "six hundred ninety-three billion, three hundred forty-nine million, three hundred sixty thousand, seven hundred four".